What are the solutions to the equation 14.6689=x^2+x ?

The solutions to the equation 14.6689=x^2+x are x=(-1+sqrt(59.6756))/2 ,x=(-1-sqrt(59.6756))/2

Find the zeros of 14.6689=x^2+x

The zeros of 14.6689=x^2+x are x=(-1+sqrt(59.6756))/2 ,x=(-1-sqrt(59.6756))/2

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14.6689 = x^{2} + x

x = \frac{- 1 + 59.6756}{2}, x = \frac{- 1 - 59.6756}{2}

Decimal Notation

x = 3.36249 \dots, x = - 4.36249 \dots

Solution steps

14.6689 = x^{2} + x

Switch sides

x^{2} + x = 14.6689

Move

14.6689

to the left side

x^{2} + x - 14.6689 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 1 \cdot ( - 14.6689 )}{2 \cdot 1}

1^{2} - 4 \cdot 1 \cdot (- 14.6689) = 59.6756

x_{1, 2} = \frac{- 1 \pm 59.6756}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 1 + 59.6756}{2 \cdot 1}, x_{2} = \frac{- 1 - 59.6756}{2 \cdot 1}

x = \frac{- 1 + 59.6756}{2 \cdot 1} : \frac{- 1 + 59.6756}{2}

x = \frac{- 1 - 59.6756}{2 \cdot 1} : \frac{- 1 - 59.6756}{2}

The solutions to the quadratic equation are:

x = \frac{- 1 + 59.6756}{2}, x = \frac{- 1 - 59.6756}{2}

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15 x^{2} + 15 = 34 x

(a + b)^{2} x^{2} + 8 (a^{2} - b^{2}) x + 16 (a - b)^{2} = 0

5 x (3 x + 2 x) - 3 x = 40

What are the solutions to the equation 14.6689=x^2+x ?
The solutions to the equation 14.6689=x^2+x are x=(-1+sqrt(59.6756))/2 ,x=(-1-sqrt(59.6756))/2
Find the zeros of 14.6689=x^2+x
The zeros of 14.6689=x^2+x are x=(-1+sqrt(59.6756))/2 ,x=(-1-sqrt(59.6756))/2